Converting Vertex to Standard Form in Quadratic Equations

What is the main topic of the lesson in the video?

• Converting vertex form equations to standard form

• Finding the roots of quadratic equations

• Graphing quadratic functions

• Solving linear equations

In the vertex form equation y = a(x - h)^2 + k, which value is shared with the standard form equation y = ax^2 + bx + c?

• h

• b

• k

• a

What is the first step in converting y = 2(x - 3)^2 + 4 to standard form?

• Combine like terms

• Distribute the 2

• Add 4

• Simplify the parentheses

What is the result of expanding (x - 3)(x - 3)?

• x^2 - 3x + 3

• x^2 + 6x + 9

• x^2 - 9x + 6

• x^2 - 6x + 9

After distributing the 2 in 2(x^2 - 6x + 9), what is the resulting expression?

• 2x^2 - 12x + 9

• 2x^2 - 6x + 9

• 2x^2 - 12x + 18

• 2x^2 - 6x + 18

What is the final standard form of the equation y = 2(x - 3)^2 + 4?

• 2x^2 - 12x + 22

• 2x^2 - 6x + 18

• 2x^2 - 6x + 22

• 2x^2 - 12x + 18

What makes the second example more difficult than the first?

• It has a larger constant term

• It includes a negative exponent

• It involves a fraction for the a value

• It has more variables

What is the expanded form of (x + 2)(x + 2)?

• x^2 + 4x + 2

• x^2 + 2x + 4

• x^2 + 2x + 2

• x^2 + 4x + 4

What is the result of multiplying the trinomial by 1/3 in the second example?

• 1/3x^2 + 4/3x + 4/3

• 1/3x^2 + 2/3x + 2/3

• 1/3x^2 + 4/3x + 2/3

• 1/3x^2 + 2/3x + 4/3

What is the final standard form of the equation y = (1/3)(x + 2)^2 - 5?

• 1/3x^2 + 4/3x - 5

• 1/3x^2 + 4/3x - 11/3

• 1/3x^2 + 2/3x - 11/3

• 1/3x^2 + 2/3x - 5